Stabilization in distribution by delay feedback controls for hybrid stochastic delay differential equations

Li, Yuyuan and You, Surong and Lu, Jianqiu and Jiang, Yanan and Hu, Liangjian and Mao, Xuerong (2022) Stabilization in distribution by delay feedback controls for hybrid stochastic delay differential equations. International Journal of Systems Science. ISSN 0020-7721 (In Press)

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Abstract

This article aims to design a linear delay feedback control to stabilize an unstable hybrid stochastic delay differential equation in distribution. Under the global Lip- schitz condition, sufficient criteria are established to guarantee the stability of the controlled system. Then LMI techniques are employed to design the control law in two structure forms: state feedback and output injection.

ORCID iDs

Li, Yuyuan, You, Surong, Lu, Jianqiu, Jiang, Yanan, Hu, Liangjian and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
  • Item type:Article
    ID code:83585
    Dates:
    Date
    Event
    11 December 2022
    Published
    11 December 2022
    Accepted
    Keywords:Brownian motion, Markovian switching, delay feedback control, stability in distribution, stochastic delay, differential equation, Probabilities. Mathematical statistics, Statistics and Probability
    Subjects:Science > Mathematics > Probabilities. Mathematical statistics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:20 Dec 2022 14:53
    Last modified:18 Jan 2023 11:45
    URI:https://strathprints.strath.ac.uk/id/eprint/83585
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